# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068033:0028 # Permalink to this reading: https://leibnizlegible.com/page/00068033:0028?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 15 # Folio 14v, page id 00068033:0028 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068033&page=28 # Source image: https://digitale-sammlungen.gwlb.de/content/00068033/jpgs/default/00000028.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 76 lines, status machine # Lines: 76 recognised, mean confidence 0.69 # Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. # Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text. # Wording rule: say "the machine reads it as …", never "Leibniz wrote". # After the first blank line: the recognised lines in reading order, one per line. 2 An ergo erit: sam si sio ga1 e d 7 . scribendum 2-1 M q + Z X x. sit X quantitas constans seu E dplX aequ.0. dxr fit -1 e aequ. dz constans fit: 2 in sit 7. quantitas aX aequa X az aequ. 0. r2 1 tu et sit ax aeqo Ya x Ex ambobus Emautem simul nihil conflari potest nempe ax du EC et dinullus terminus conflar potest 2 sjam habeamus Y aequ. y. et inde faciamus. e Y aequ y, fiet. L.1 ei adeoque fietE dividendo omnia per yE. L1 fiet. eq a = + =ys aequ. 0. est autem d: p d L 1 + = dus aequ. 0. seu. (Z aequ. y. ergo fit: y2C e id est prodit tandem morabili calculo cogarithmicam destuoturfor esse Hperbolae quadratricem tmenplite sit: Xaequ Y+ Y. fier raequ V2 +1 expercpudo Y 3 et 0aequ. +V seu 4 + y destim posse 2-2 + 277 26y Bytu +H yZ a ne YE ay Lc 12 cequ vel peten. Z 1 V. siet: aut a 2L seu fV2 a a2 + 2y dy aequio. se az qq evau + d- + vl2 + Ldy + L sive: 2Z + _ dz + du +2y du aequi e Cujus figurae hoc modo habetus quadrid trix. Quo x subsituaturs ciquart; Y. r2+= + habebitur summa C + r +A dE cum alioqui difficilis quadrasio. patet et hinc licet non sit Y vec Z fat d anec stacum initio Z in exponense